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Finding the Third Proportional to 51,437 and 110,008

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Solution

The third proportional to 51,437 and 110,008 is: 235,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,437 : 110,008 = 110,008 : x
  2. Step 2: Convert to fraction form
    51,437/110,008 = 110,008/x
  3. Step 3: Cross multiply
    51,437x = 110,008 × 110,008
  4. Step 4: Simplify right side
    51,437x = 12,101,760,064
  5. Step 5: Solve for x
    x = 12,101,760,064/51,437
  6. Step 6: Final answer
    x = 235,273.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.